Sufficient Conditions for Strong Structural Controllability of Uncertain Linear Time-Varying Systems

被引：0
|
作者：
Hartung, Christoph [1 ]
Reissig, Gunther [1 ]
Svaricek, Ferdinand [1 ]
机构：
[1] Univ Fed Armed Forces, Dept Aerosp Eng, Inst Control Eng LRT 15, D-85577 Munich, Germany
来源：
2013 AMERICAN CONTROL CONFERENCE (ACC) | 2013年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we extend the notion of strong structural controllability of linear time-invariant systems, a property that requires the controllability of each system in a specific class given by the zero-nonzero pattern of the system matrices, to the linear time-varying case (x) over dot (t) = A (t) . x (t) + B (t) . u (t), where A and B are matrices of analytic functions. It is demonstrated that the requirements for strong structural controllability of linear time-invariant systems are not sufficient for strong structural controllability of linear time-varying systems. Moreover, in the main result of this paper, sufficient conditions for strong structural controllability of linear time-varying systems are given and an algorithm for verifying this property is provided. Since time-invariant systems are included in the class of time-varying system, these conditions are also new sufficient conditions for strong structural controllability of time-invariant systems. Finally, the results are illustrated by means of an example.
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页码：5875 / 5880
页数：6
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